First we need to find the gcf (greatest common factor) of 18 and 24
in this case it would be 6, since it’s the highest number you can divide both 18 and 24 by without leaving you with a remainder
then we divide both 18 and 24 by 6, leaving you with 3/4
hope i helped!
We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
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Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
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Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
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First u have to expand the brackets...
4 x 2z = 8z
4 x 3 = 12
8z + 12 = 12
Then you have to get numbers on one side, and letter on the other...
8z -12 = 12-12
8z = 0
then u have to divide 8z by 8 to find 1z or just z.
z = (0/8) = 0
z=0
Hope this helps :)
